Answer:
Angle = 59.03 degrees
Length = 58.3 inches
Step-by-step explanation:
Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold
Set up 2 equations:
Total items sold: x + y = 300
This gets rewritten as x = 300-y
The second equation is for total amount made:
2.50x + 1.50y = 522
Replace x in the 2nd equation with the value of x from the first one:
2.50(300-y) + 1.50y = 522
Simplify:
750 - 2.50y + 1.50y = 522
Combine like terms:
750 - y = 522
Subtract 750 from both sides:
-y = -228
Divide both sides by -1 ( to make y positive)
y = 228
Now replace y in the first equation to solve for x:
x+ 228 = 300
Subtract 228 from both sides:
x = 72
He sold 72 bags of popcorn and 228 sodas.
If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Answer:
a
Step-by-step explanation:
In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Give your answer as a decimal to 4 places.
Answer:
0.9744 probability that AT LEAST ONE of them has been vaccinated
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the people have been vaccinated.
This means that [tex]p = 0.6[/tex]
If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
This is
[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].
We have that
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]
0.9744 probability that AT LEAST ONE of them has been vaccinated
IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) [tex]y =2x +5[/tex]
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,9)[/tex]
[tex](x_1,y_1) = (10,25)[/tex]
So, we have:
[tex]m = \frac{25 - 9}{10 - 2}[/tex]
[tex]m = \frac{16}{8}[/tex]
[tex]m=2[/tex]
The equation is calculated using:
[tex]y - y_1 =m(x - x_1)[/tex]
Using:
[tex](x_1,y_1) = (6,17)[/tex]
We have:
[tex]y - 17 =2(x - 6)[/tex]
[tex]y - 17 =2x - 12[/tex]
Make y the subject
[tex]y =2x - 12+17[/tex]
[tex]y =2x +5[/tex]
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
[tex]y =2x +5[/tex]
Please help!!! Have been stuck on this problem for the past hour. can someone be so kind and explain it to me. I have a Quiz tomorrow on this. solving systems using substitution y = - 7y + 3; Y+ 7x = 10
Answer:
Step-by-step explanation:
y = -7x+3
substitute -7x+3 for y in the other equation.
y + 7x = 10
(-7x+3) + 7x = 10
3 = 10, a contradiction, so there is no solution.
If you were to graph both equations, you would see that they are parallel lines. There is no point that belongs to both lines, so there is no (x,y) that satisfies both equations.
Consider the line y=5/3x+1.
Find the equation of the line that is perpendicular to this line and passes through the point (-9,5).
Find the equation of the line that is parallel to this line and passes through the point (-9,5).
Equation of perpendicular line:
Equation of parallel line:
Answer:
similar to your question hope it will helpful for you
Step-by-step explanation:
I've done step by step hope it helps
John's house is 10 miles from the grocery store. if a map uses a scale of 0.5 inches = 4 miles, how far apart, in inches, how far apart, in inches, would his house and grocery store be on the map?
Answer:
1.25 inches
Step-by-step explanation:
2 miles would be 0.25 inches. 8 miles would be 1 inch. 8+2 is 10, 1 + 1.25 is 1.25.
3x x 2 + 5x - 1 fdhyshber
Answer:
11x - 1
Step-by-step explanation:
Just simplify the terms!
3x * 2 + 5x - 1
6x + 5x - 1 (We multiply 3x * 2 to get 6x)
11x - 1 (Then after that, all you have to do is add 6x and 5x together. We can't simplify further since we don't know what x is)
Answer:
How to solve your question
3xx^{2}+5x-1
3xx2+5x−1
Simplify
1
Combine exponents
3 2 + 5 − 1 3 3 + 5 − 1
Solution
3 3 + 5 − 1
Step-by-step explanation:
Determine the unknown angle measures in a hexagon whose six angles measure 69°, 108°, 135°, 204°, b°, and 2b°.
Answer:
B = 68
Step-by-step explanation:
(6-2)×180 = 720
69+108+135+204+b+2b=720
516+3b=720
3b=720-516
3b=204
b= 68
Match the expressions given in words with their values when d= 3. Help
Answer:
3
4
0
2
Step-by-step explanation:
3
4
0
2
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save
Answer:
$42
Step-by-step explanation:
7/14=1/2 so he saved 1/2 of 84
i need the type of properties
Answers:
Distributive PropertyInverse PropertyIdentity PropertyAssociative PropertyCommutative PropertyMultiplication Property of Zero=========================================================
Explanations:
The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.$26,088,808.74 +
$34,311,887.98 =
Answer:60,400,696.72
Step-by-step explanation:
it just is...
fill in the blanks #7 and #8 plzzzzz
Answer:
7.Always 8.Never
Step-by-step explanation:
7. A linear pair are 2 angles that forms 180 degree angles. Supplementary Angles are angles that form 180 degrees. 180=180 so it is always
8. Vertical angles share a common vertex but like adjacent angles but unlike vertical angles they dont overlap so Vertical angles are non adjacent angles.Also adjacent angles aren't always equal either. So never
Which fraction is greater?
Answer:
1/2
Step-by-step explanation:
Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please
My choices are
38
62
102
150
Answer:
B. [tex]x = 62[/tex]
Step-by-step explanation:
In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.
[tex]3x-36=2x+26\\[/tex]
Same to both sides:
[tex]x = 62[/tex]
How do I solve for x correctly?
Answer:
x = 3
Step-by-step explanation:
[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]
[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]
[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]
[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]
[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]
[tex] \therefore 10x+5=5\times 7 [/tex]
[tex] \therefore 10x+5=35 [/tex]
[tex] \therefore 10x=35-5 [/tex]
[tex] \therefore 10x=30 [/tex]
[tex] \therefore x=\frac{30}{10} [/tex]
[tex] \therefore x=3[/tex]
I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
♀️
10. Given the function below, what is f(3)?
f(x) = 2x2 - x-5
Answer:
f(3) = 10
Step-by-step explanation:
f(3) = 2(3)^2 - (3) - 5
f(3) = 2(9) - (3) - 5
f(3) = 18 - 3 - 5
f(3) = 10
There are 22 third-graders in Sally's town. If there are 4 more boys than girls, how many girls are there?
Answer:
22-4=18
Step-by-step explanation:
Answer:
9 girls
Step-by-step explanation:
First we know from the information there are 22 kids in total.
Next we know 11+11=22 so one number would be 2 more than the other.
So 13+9=22
Therefore, there is 9 girls in Sally's town.
Which graph represents the inequality ?
Answer:
if there is a pic i need to to help so since there is no pic i can not help
Step-by-step explanation:
Each suite has 3 beds and there is a bed side table beside each side of each bed. How many bed side tables are there in all the suites?
Answer:
8
Step-by-step explanation:
3 + 3 + 2
Help plz:)))I’ll mark u Brainliest
Emplea los signos <, > o =, según corresponda
Answer:
1.≤
2.≤
3.≤
4.≤
5.≤
6.≤
Step-by-step explanation:
di po ko sure kung tama po yan
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Step-by-step explanation:
this is the answer i hope to get full mark
Write the equation of each line using the given information. Show all work.
1. Passing through the points (4, 5) and (-2, -7). Use fractions, not decimals.
Answer:
y=2x
Step-by-step explanation:
y2-y1/x2-x1
-7-5/-2-4
-12/-6
simplified to = 2
so y=2x
An automobile manufacturer claims that its car has a 37.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 120 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.1. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis.
Answer:
fail to reject the null hypothesis
Step-by-step explanation:
Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.
On Mars, 3 bags of MartianMallows cost 24 space rocks. If each bag contains 10 MartianMallows, how many space rocks does four MartianMallows cost? Express your answer as an improper fraction.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30}= s/4, where s is the cost of four MartianMallows.
Solving for s, we find that s=(24/30)x4= 16/5 space rocks.
16/5
Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.
Answer:
5k+5
Step-by-step explanation:
Combine Like Terms:
=2k+2+k+3+2k
=(2k+k+2k)+(2+3)
=5k+5
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
I think that A would be the correct answer.